To find the Highest Common Factor (HCF) of **-30** and **24**, follow these steps: 1. **Understand HCF:** - The HCF, also known as the Greatest Common Divisor (GCD), is the largest positive integer that divides two numbers without leaving a remainder. - Since HCF is concerned with factors, only the absolute values of the numbers are considered. So, we'll use **30** and **24** instead of **-30** and **24**. 2. **List the Factors:** - **Factors of 30:** - 1, 2, 3, 5, 6, 10, 15, 30 - **Factors of 24:** - 1, 2, 3, 4, 6, 8, 12, 24 3. **Identify Common Factors:** - The numbers that appear in both lists are: **1, 2, 3, 6** 4. **Determine the Highest Common Factor:** - Among the common factors, the largest is **6**. **Conclusion:** The HCF of **-30** and **24** is **6**. The HCF of -30 and 24 is 6.

Home Question Bank Math Arithmetic

Question

HCF of: -30 and 24

Ask by Moran Coleman. in South Africa

Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The HCF of -30 and 24 is 6.

Solution

A Learning Platform Trusted by Millions of Real Students and Teachers.

Unlock

Reviewed and approved by the UpStudy tutoring team

Bonus Knowledge

To find the highest common factor (HCF) of -30 and 24, we focus on their absolute values, which are 30 and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30, while the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The largest factor they share is 6, making the HCF of -30 and 24 equal to 6. When calculating HCF, a fun method is to use the "ladder method." Start by dividing both numbers by their smallest common prime factor, and keep going until you can’t divide anymore. In this case, dividing by 2 gives you 15 and 12, and continuing with 3 leads you to the ultimate HCF of 6! You can be a math magician with this technique!

Latest Arithmetic Questions

Arithmetic South Africa Jan 24, 2025

Arithmetic United States Jan 24, 2025

Arithmetic Singapore Jan 24, 2025

Arithmetic France Jan 24, 2025